\begin{tikzpicture}
    \pgfmathsetmacro{\R}{1.5}

    \tkzDefPoints{0/0/O}
    \tkzDefPoint(120:\R){A}
    \tkzDefPoint(260:\R){B}
    \tkzDefPoint(310:\R){C}
    \tkzDefPoint(25:\R){D}
    \tkzInterLL(A,B)(D,C)  \tkzGetPoint{M}
    \tkzInterLL(A,D)(B,C)  \tkzGetPoint{N}
    \tkzDefLine[bisector](D,M,A)  \tkzGetPoint{h}
    \tkzDefLine[bisector](A,N,B)  \tkzGetPoint{e}
    \tkzInterLL(N,e)(A,B)  \tkzGetPoint{E}
    \tkzInterLL(N,e)(C,D)  \tkzGetPoint{G}
    \tkzInterLL(M,h)(A,D)  \tkzGetPoint{H}
    \tkzInterLL(M,H)(B,C)  \tkzGetPoint{F}
    \tkzInterLL(M,H)(N,E)  \tkzGetPoint{K}

    \tkzDrawCircle[thick](O,A)
    \tkzDrawPolygons(A,M,D  A,B,N)
    \tkzDrawSegments(M,H  N,E)

    \extkzLabelAngel[0.3](M,E,N){$1$}
    \extkzLabelAngel[0.3](E,G,M){$2$}
    \tkzAutoLabelPoints[center=O, centered, dist= .2](A,C,D)
    \tkzLabelPoints[below, xshift=-.5em](B)
    \tkzLabelPoints[below](M)
    \tkzLabelPoints[right](N)
    \tkzLabelPoints[left](E)
    \tkzLabelPoints[above, xshift=.4em](F)
    \tkzLabelPoints[above, xshift=-.5em](G)
    \tkzLabelPoints[above](H)
    \tkzLabelPoints[above, xshift=-.5em](K)
\end{tikzpicture}

